The distance between two places is 12 km. A map scale is `1:25000`.
The distance between the two places on the map, (in cm) is

Options

A. 24
B. 36
C. 48
D. 60

Answer

To find the distance between two places on a map given the actual distance and the map scale, we can follow these steps:

### Step 1: Understand the map scale
The map scale is given as 1:25000, which means that 1 unit on the map corresponds to 25000 units in reality.

### Step 2: Convert the actual distance to meters
The actual distance between the two places is 12 km. We need to convert this distance into meters because the map scale is in meters.
- 1 km = 1000 m
- Therefore, 12 km = 12 × 1000 m = 12000 m.

### Step 3: Set up the proportion
According to the map scale, if 1 unit on the map corresponds to 25000 units in reality, we can set up the following proportion:
- If 12000 m is the actual distance, we can find the distance on the map (let's call it x):

\[ \frac{x}{1} = \frac{12000}{25000} \]

### Step 4: Solve for x
To find x, we can rearrange the equation:

\[ x = \frac{12000}{25000} \]

### Step 5: Simplify the fraction
Now, we simplify the fraction:

\[ x = \frac{12000}{25000} = \frac{12}{25} \text{ m} \]

### Step 6: Convert meters to centimeters
Since we need the distance in centimeters, we convert meters to centimeters:
- 1 m = 100 cm
- Therefore,

\[ \frac{12}{25} \text{ m} = \frac{12}{25} \times 100 \text{ cm} = \frac{1200}{25} \text{ cm} \]

### Step 7: Calculate the final value
Now we perform the division:

\[ \frac{1200}{25} = 48 \text{ cm} \]

### Conclusion
The distance between the two places on the map is **48 cm**.